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Finding the Fourth Proportional to 4,059.75, 5,602.32 and 2,291.52

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Solution

The fourth proportional to 4,059.75, 5,602.32 and 2,291.52 is: 3,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.75 : 5,602.32 = 2,291.52 : x
  2. Step 2: Convert to fraction form
    4,059.75/5,602.32 = 2,291.52/x
  3. Step 3: Cross multiply
    4,059.75x = 5,602.32 × 2,291.52
  4. Step 4: Simplify right side
    4,059.75x = 12,837,828.33
  5. Step 5: Solve for x
    x = 12,837,828.33/4,059.75
  6. Step 6: Final answer
    x = 3,162.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.